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Old 01-12-2012, 11:08 AM   #1
footfootfoot
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Right V,
Right Glatt,
Right Infi
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Old 01-12-2012, 01:18 PM   #2
HungLikeJesus
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#42 Weights = 1/2, 1+1/2, 4+1/2, 13+1/2
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Old 01-12-2012, 01:50 PM   #3
Clodfobble
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Quote:
Originally Posted by HungLikeJesus
#42 Weights = 1/2, 1+1/2, 4+1/2, 13+1/2
I just realized, the key is that you can put a weight on the opposite side of the scale. So if I want to weigh out one pound of green beans, I put the 1-1/2 on one side, the 1/2 on the other side, and add green beans until it balances. Very clever.
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Old 01-12-2012, 02:24 PM   #4
footfootfoot
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I was wondering if I had to specify a balance scale as opposed to a spring scale.

Very Clever...
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Old 01-12-2012, 02:31 PM   #5
HungLikeJesus
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Notice that if you changed it to whole numbers (1 to 40 pounds) the weights would be 1, 3, 9, 27 (3^0, 3^1, etc.)
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Old 01-13-2012, 11:37 AM   #6
HungLikeJesus
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I was thinking about this last night while I was sleeping.

What does the following cyclic pattern of numbers represent?

0
1
3
2
6
7
5
4
0
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Old 01-13-2012, 11:41 AM   #7
infinite monkey
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Starting with the top number, it's how many steps forward I take, followed by how many backward, how many forward again, backward...etc and so on.
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Old 01-13-2012, 11:44 AM   #8
HungLikeJesus
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So you always end up back where you started!
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Old 01-13-2012, 11:48 AM   #9
infinite monkey
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I KNEW this looked familiar.
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Old 01-13-2012, 02:47 PM   #10
Clodfobble
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I want there to be a reason that the first letters of the number names are in a pattern as well (z, o, t, t, s, s, f, f, z)... But it's not reverse alphabetical order, because 3/2 and 5/4 would be out of place.
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Old 01-13-2012, 02:59 PM   #11
HungLikeJesus
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I dream in binary.
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Old 01-14-2012, 06:23 AM   #12
ZenGum
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000 001 011 110 111 101 100 000

000
001
011
110
111
101
100
000


uh?
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Old 01-14-2012, 08:23 AM   #13
HungLikeJesus
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Quote:
Originally Posted by ZenGum View Post
000 001 011 110 111 101 100 000

000
001
011
110
111
101
100
000


uh?
You made a small error (you skipped 2).
It should be:

0 000
1 001
3 011
2 010
6 110
7 111
5 101
4 100
0 000
... ...
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Old 01-17-2012, 08:41 AM   #14
HungLikeJesus
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Quote:
Originally Posted by HungLikeJesus View Post
You made a small error (you skipped 2).
It should be:

0 000
1 001
3 011
2 010
6 110
7 111
5 101
4 100
0 000
... ...
The answer is that each number only changes a single digit from the previous number.

And for bonus points, what is this pattern called, and what is it used for?
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Old 01-14-2012, 09:09 AM   #15
footfootfoot
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There's no 8 in binary?
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